Hand cut the impossible bevel or change design?

I am making a desk in a style that I have been working with, blending some Mission elements and Japanese elements.

I have a bevel on the underside of the top that I can't cut on my table saw. My old saw was left tilt and I had room to put a top up on edge and run it though. Now my saw is right tilt and even if I build a sled to ride on the slider on the left of the blade, I don't have room to set the top up before I bang the ceiling.

Image one and two are the original. Image three and four are redrawn for a compromise 45 degree bevel that I can cut on my Hammer K3.

My question is: Am I being a fool to stick to my original concept? My current plan is to cut the more gentle bevel with a hand plane...draw lines, make a drink and take my time! My fear is the union between the side and front bevels will not be as crisp as I want. The shallow bevel is on another piece that goes with but not in the same room as this piece (last image).

I tend to get obsessed with doing things the way I "planned" vs what is a simple compromise, but in this case I think I need the shallow bevel and I can't figure out how to cut it except with a plane.

The carcass is made and the top is glued up so time to decide!

Thanks.